Option C:
A triangle that does not have the same dimension as one of the sides of pyramid.
Because....
There is a rectangular Pyramid, which is sliced perpendicular to its base and through its vertex.
Given:


To find:
The value of
.
Solution:
We have,


Using properties of log, we get
![\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_a%5Cdfrac%7Bm%7D%7Bn%7D%3D%5Clog_am-%5Clog_an%5Cright%5D)
![[\log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Substitute
and
.



Therefore, the value of
is
.
Answer:
Step-by-step explanation:
Xavier, Yolanda and Zara shared some money.
Let x represent Xavier's share
Let y represent Yolanda's share
Let z represent Zara's share.
Yolanda received 40% more money than Xavier. This means that
y = x + 40/100×x = x + 0.4x = 1.4x
Zara received 60% of Yolanda's share. This means that
z = 60/100× 1.4 = 0.6×1.4 = 0.84x
. If Zara received $1,176, then,
0.84x = 1176
x = 1176/0.84 = 1400
y = 1.4 × 1400 = $1960
z = 0.84 × 1400 = $1176
The sum of the money is
1400 + 1960 + 1176 = $4536